Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms

Abstract

We propose to use the recently predicted two-dimensional `weak-pairing' $p_x+i{p}_y$ superfluid state of fermionic cold atoms as a platform for topological quantum computation. In the core of a vortex, this state supports a zero-energy Majorana mode, which moves to finite energy in the corresponding topologically trivial `strong-pairing' state. By braiding vortices in the `weak-pairing' state, unitary quantum gates can be applied to the Hilbert space of Majorana zero-modes. For read-out of the topological qubits, we propose realistic schemes suitable for atomic superfluids.

References in corpus (3)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Anisotropic Fermi Superfluid via p-wave Feshbach Resonance
• Manipulation of Single Neutral Atoms in Optical Lattices

Cited by in corpus (22)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Optimal non-linear passage through a quantum critical point
• Interferometry of non-Abelian Anyons
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors
• Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Near zero modes in condensate phases of the Dirac theory on the honeycomb lattice
• Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
• Casimir interaction among heavy fermions in the BCS-BEC crossover
• Rabi switch of condensate wavefunctions in a multicomponent Bose gas
• Predicted signatures of p-wave superfluid phases and Majorana zero modes of fermionic atoms in RF absorption
• Fractionalization in dimerized graphene and graphene bilayer
• Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal
• Unconventional superfluidity in Bose-Fermi Mixtures